The vector position of a 4.00 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2ĵt² where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.55 g particle varies as r, = 3î - 2ît² – 6ĵt. 2 (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. "cm cm (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s. p = g. cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s. cm/s cm

The vector position of a 4.00 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2ĵt² where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.55 g particle varies as r, = 3î - 2ît² – 6ĵt. 2 (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. "cm cm (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s. p = g. cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s. cm/s cm

Name: (3î + 3j)t + 2ĵt² where t is in seconds andr is in centimeters. At th
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: (3î + 3j)t + 2ĵt² where t is in seconds andr is in centimeters. At the sameThe vector position of a 4.00 g particle moving in the xy plane varies in time according tor,time, the vector position of a 5.55 g particle varies as r, = 3î - 2ît? - 6jt.(a)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum, Impulse, And Collisions

Section: Chapter Questions

Problem 46P: A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three...

See similar textbooks

Similar questions

A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?
A rod of length 3 meters with density 8(x) = 1.1 + 1.1x4grams/meter is positioned along the positive x-axis, with its left end at the origin. Find the total mass and the center of mass of the rod. Round your answers to four decimal places. The total mass of the rod is i The center of mass of the rod is i grams. meters.
The vector position of a 3.45 g particle moving in the xy plane varies in time according to i, - (3i + 35)t + 2jr? where t is in seconds and is in centimeters. At the same time, the vector position of a 5.20 g particle varies as i,- 31 - zir? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.90 s. x cm cm (b) Determine the linear momentum (in g cm/s) of the system at t = 2.90 s. 9. cm/s (e) Determine the velocity (in cm/s) of the center of mass at t = 2.90 s. cm/s (4) Determine the acceleration (in cm/s) of the center of mass at t = 2.90 s. cm/s? (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.90 s. UN net
The mass of a particle is 2 kg and its velocity is given by V1 = 2i-10tj m/s, with time in t and s. The 3 kg particle is moving with a constant velocity of V2 = 4i m/s. Find (a) the velocity of the center of mass, (b) the acceleration of the center of mass, and (c) the total momentum of the system in unit vectors.
The vector position of a 4.00 g particle moving in the xy plane varies in time according to r. (3î + 3j)t + 2ĵt² where t is in seconds andr is in centimeters. At the same time, the vector position of a 5.55 g particle varies as r, = 3î - 2ît? - 6ĵt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. -5.975i – 0.286j cm cm (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s. p = g· cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s. V cm cm/s (d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.60 s. cm/s? cm (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.60 s. -4.8 i+ 2.1 j µN net
If a cart hits a bumper and has a change in momentum = 3.96 kg.m/s, and the time during which the collision takes place is 0.163 seconds, what is the average force applied on the cart by the bumper, in newtons.
A mass of 200kg moves along a straight line at 10m/s. It collides with a mass of m2 kg moving theopposite way along the same straight line at 6m/s. The two masses join together on colliding to formone mass with the velocity of 2m/s.a) Determine the mass m2?b) If the coefficient of kinetic friction of the joint mass with the floor is μk =0.5, how far do theyslide?
One study suggests that a brain concussion can occur if a person’s head is subjected to an acceleration assmall as 60g, where g is the acceleration of gravity. (a) If the massof the person’s head is 4.8 kg, what is the magnitude of the force?(b) If the impulse delivered to the person’s head is 18 kg # m>s, overwhat time interval is the force applied?
A bullet of mass 2 kg is headed at horizontal speed 60 m/s toward a block of mass14(2 kg) = 28 kg resting on a horizontal frictionless surface. The bullet strikes the blockand comes to rest relative to the block somewhere deeply embedded inside the block.What average force did the block exert onthe bullet while it was coming to a stop insidethe block, if the stopping process took 0.04 s? 1. −200 N2. Not enough information is provided toanswer.3. −2800 N4. 3000 N5. 200 N6. 2800 N7. −3000 N8. Zero, since the bullet comes to rest relative to the block.
A 0.05 kg ball strikes a wall with a velocity v1 = -25 m/s and bounces back with a velocity v2 =5 m/s. If the collision lasts 0.2 s, then find the average force (in N) exerted on the ball.
A 2 kg block is moving at v= 3 m/s along a frictionless table and collides with a second 2 kg block that is initially at rest. After the collision, the two blocks stick together and then slide up a 45∘frictionless inclined plane a)Calculate the maximum distance LL that the two blocks travel up the incline.
Starting at rest, two skaters push off against each other on smooth level ice, where friction is negligible. One is a woman (mass= 56 kg) and one is a man (mass = 77 kg). The woman moves away with a velocity 2 m/s. (a) Before (b) After VI What is the recoil velocity of the man? m/s Recoil velocity of man =